Prime p₀= 853617637661481059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 28 2 178 2 58 2 40 2 (?)
a_n: 0 2 12 14 90 92 120 122 300 302 360 362 402 404
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 404
Found by: kim-b-h
db: batch=73, k=14, 10 76 28 178 58 40

SPT(16)	853616398637242901	0 6 8 12 36 38 42 50 138 146 150 152 176 180 182 188	-1239024238158
SPT(16)	853616430247042697	0 2 26 30 36 96 110 132 134 156 170 230 236 240 264 266	-1207414438362
STPT(10)	853616453446885109	0 2 18 20 60 62 102 104 120 122	-1184214595950
SPT(16)	853616548109866357	0 12 24 34 76 82 102 120 136 154 174 180 222 232 244 256	-1089551614702
SPT(16)	853616910536296733	0 24 50 60 80 114 116 198 206 288 290 324 344 354 380 404	-727125184326
STPT(10)	853617600789754037	0 2 12 14 42 44 72 74 84 86	-36871727022
SPT(16)	853617656160052499	0 8 42 78 122 162 182 204 218 240 260 300 344 380 414 422	18498571440
TPT(14)	853617971989836629	0 2 102 104 162 164 198 200 240 242 372 374 408 410	334328355570
SPT(16)	853618017692383103	0 24 128 138 140 156 164 194 210 240 248 264 266 276 380 404	380030902044
SPT(16)	853618387346647963	0 6 18 28 40 66 76 94 120 138 148 174 186 196 208 214	749685166904
SPT(16)	853618482400142579	0 2 8 30 60 84 98 158 204 264 278 302 332 354 360 362	844738661520